Approximation of derivations and the superstability in random Banach \(\ast\)-algebras
type: Item
instance of: scholarly article
title: Approximation of derivations and the superstability in random Banach \(\ast\)-algebras
zbMATH Open document ID: 1448.46064
author: Reza Saadati
author: Choonkil Park
published in: Advances in Difference Equations
publication date: 2019-02-04T00:00:00Z
Mathematics Subject Classification ID: 46S50
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 46L57
Mathematics Subject Classification ID: 26E60
zbMATH DE Number: 7011483
zbMATH Keywords: derivation
zbMATH Keywords: quadratic derivation
zbMATH Keywords: superstability
zbMATH Keywords: fixed point method
zbMATH Keywords: random Banach \(\ast\)-algebra
zbMATH Keywords: random \(C^{*}\)-ternary algebra
MaRDI profile type: Publication
full work available at URL: s13662-018-1882-6
OpenAlex ID: W2901014632
cites work: Q3259049
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: Approximation of the multiplicatives on random multi-normed space
cites work: Q5346667
cites work: Q3336431
cites work: Q4920780
cites work: Approximation of additive functional equations in NA Lie \(C^\star\)-algebras
cites work: Random homomorphisms and random derivations in random normed algebras via fixed point method
cites work: Nonlinear stability of \(\rho\)-functional equations in latticetic random Banach lattice spaces
cites work: On a functional equation connected with bi-linear mappings and its Hyers-Ulam stability
cites work: Approximation properties of solutions of a mean value type functional inequalities
cites work: Superstability of Pexiderized functional equations arising from distance measures
cites work: A fixed point approach to the fuzzy stability of an AQCQ-functional equation
cites work: Jessen type functionals and exponential convexity
cites work: Approximately inner derivations
cites work: The Stability of the Equation f(x + y) = f(x)f(y)
cites work: Q4412354
cites work: A fixed point theorem of the alternative, for contractions on a generalized complete metric space
cites work: Superstability of derivations on Banach \(\ast\)-algebras
cites work: On the stability of the additive Cauchy functional equation in random normed spaces
cites work: A characterization of ternary rings of operators
DOI: 10.1186/S13662-018-1882-6
description: scientific article; zbMATH DE number 7011483